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ee.Array.eigen
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Calcula los autovectores y los autovalores reales de un array cuadrado bidimensional de A filas y A columnas. Devuelve un array con A filas y A+1 columnas, en el que cada fila contiene un autovalor en la primera columna y el autovector correspondiente en las A columnas restantes. Las filas se ordenan por valor propio, en orden descendente.
Esta implementación usa DecompositionFactory.eig() de https://ejml.org.
| Uso | Muestra |
|---|
Array.eigen() | Array |
| Argumento | Tipo | Detalles |
|---|
esta: input | Array | Es un array cuadrado bidimensional a partir del cual se calculará la descomposición de valores propios. |
Ejemplos
Editor de código (JavaScript)
print(ee.Array([[0, 0], [0, 0]]).eigen()); // [[0,0,1],[0,1,0]]
print(ee.Array([[1, 0], [0, 0]]).eigen()); // [[1,1,0],[0,0,1]]
print(ee.Array([[0, 1], [0, 0]]).eigen()); // [[0,0,1],[0,1,0]]
print(ee.Array([[0, 0], [1, 0]]).eigen()); // [[0,-1,0],[0,0,-1]]
print(ee.Array([[0, 0], [0, 1]]).eigen()); // [[1,0,1],[0,1,0]]
print(ee.Array([[1, 1], [0, 0]]).eigen()); // [[1,1,0],[0,-1/√2,1/√2]]
print(ee.Array([[0, 0], [1, 1]]).eigen()); // [[1,0,-1],[0,-1/√2,1/√2]]]
print(ee.Array([[1, 0], [1, 0]]).eigen()); // [[1,1/√2,1/√2],[0,0,1]]
print(ee.Array([[1, 0], [0, 1]]).eigen()); // [[1,1,0],[1,0,1]]
print(ee.Array([[0, 1], [1, 0]]).eigen()); // [[1,1/√2,1/√2],[-1,1/√2,-1/√2]]
print(ee.Array([[0, 1], [0, 1]]).eigen()); // [[1,1/√2,1/√2],[0,1,0]]
print(ee.Array([[1, 1], [1, 0]]).eigen()); // [[1.62,0.85,0.53],[-0.62,0.53]]
print(ee.Array([[1, 1], [0, 1]]).eigen()); // [[1,0,1],[1,1,0]]
print(ee.Array([[1, 0], [1, 1]]).eigen()); // [[1,-1,0],[1,0,-1]]
// [[1.62,-0.53,-0.85],[-0.62,-0.85,0.53]]
print(ee.Array([[0, 1], [1, 1]]).eigen());
print(ee.Array([[1, 1], [1, 1]]).eigen()); // [[2,1/√2,1/√2],[0,1/√2,-1/√2]]
var matrix = ee.Array([
[1, 0, 0],
[0, 1, 0],
[0, 0, 1]]);
print(matrix.eigen()); // [[1,1,0,0],[1,0,1,0],[1,0,0,1]]
var matrix = ee.Array([
[2, 0, 0],
[0, 3, 0],
[0, 0, 4]]);
print(matrix.eigen()); // [[4,0,0,1],[3,0,1,0],[2,1,0,0]]
matrix = ee.Array([
[1, 0, 0],
[0, 0, 0],
[0, 0, 0]]);
print(matrix.eigen()); // [[1,1,0,0],[0,0,1,0],[0,0,0,1]]
matrix = ee.Array([
[1, 1, 1],
[1, 1, 1],
[1, 1, 1]]);
// [[3,-0.58,-0.58,-0.58],[0,0,-1/√2,1/√2],[0,-0.82,0.41,0.41]]
print(matrix.eigen());
Configuración de Python
Consulta la página
Entorno de Python para obtener información sobre la API de Python y el uso de geemap para el desarrollo interactivo.
import ee
import geemap.core as geemap
Colab (Python)
display(ee.Array([[0, 0], [0, 0]]).eigen()) # [[0, 0, 1], [0, 1, 0]]
display(ee.Array([[1, 0], [0, 0]]).eigen()) # [[1, 1, 0], [0,0,1]]
display(ee.Array([[0, 1], [0, 0]]).eigen()) # [[0, 0, 1], [0, 1, 0]]
display(ee.Array([[0, 0], [1, 0]]).eigen()) # [[0, -1, 0], [0, 0, -1]]
display(ee.Array([[0, 0], [0, 1]]).eigen()) # [[1, 0, 1], [0, 1, 0]]
# [[1, 1, 0], [0, -1/√2, 1/√2]]
display(ee.Array([[1, 1], [0, 0]]).eigen())
# [[1, 0, -1], [0, -1/√2, 1/√2]]]
display(ee.Array([[0, 0], [1, 1]]).eigen())
# [[1, 1/√2, 1/√2], [0, 0, 1]]
display(ee.Array([[1, 0], [1, 0]]).eigen())
display(ee.Array([[1, 0], [0, 1]]).eigen()) # [[1, 1, 0], [1, 0, 1]]
# [[1, 1/√2, 1/√2], [-1, 1/√2, -1/√2]]
display(ee.Array([[0, 1], [1, 0]]).eigen())
# [[1, 1/√2, 1/√2], [0, 1, 0]]
display(ee.Array([[0, 1], [0, 1]]).eigen())
# [[1.62, 0.85, 0.53], [-0.62, 0.53]]
display(ee.Array([[1, 1], [1, 0]]).eigen())
display(ee.Array([[1, 1], [0, 1]]).eigen()) # [[1, 0, 1], [1, 1, 0]]
display(ee.Array([[1, 0], [1, 1]]).eigen()) # [[1, -1, 0], [1, 0, -1]]
# [[1.62, -0.53, -0.85], [-0.62, -0.85, 0.53]]
display(ee.Array([[0, 1], [1, 1]]).eigen())
# [[2, 1/√2, 1/√2], [0, 1/√2, -1/√2]]
display(ee.Array([[1, 1], [1, 1]]).eigen())
matrix = ee.Array([
[1, 0, 0],
[0, 1, 0],
[0, 0, 1]])
display(matrix.eigen()) # [[1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1]]
matrix = ee.Array([
[2, 0, 0],
[0, 3, 0],
[0, 0, 4]])
display(matrix.eigen()) # [[4, 0, 0, 1], [3, 0, 1, 0], [2, 1, 0, 0]]
matrix = ee.Array([
[1, 0, 0],
[0, 0, 0],
[0, 0, 0]])
display(matrix.eigen()) # [[1, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]
matrix = ee.Array([
[1, 1, 1],
[1, 1, 1],
[1, 1, 1]])
# [[3, -0.58, -0.58, -0.58], [0, 0, -1/√2, 1/√2], [0, -0.82, 0.41, 0.41]]
display(matrix.eigen())
Salvo que se indique lo contrario, el contenido de esta página está sujeto a la licencia Atribución 4.0 de Creative Commons, y los ejemplos de código están sujetos a la licencia Apache 2.0. Para obtener más información, consulta las políticas del sitio de Google Developers. Java es una marca registrada de Oracle o sus afiliados.
Última actualización: 2025-07-26 (UTC)
[null,null,["Última actualización: 2025-07-26 (UTC)"],[[["\u003cp\u003eComputes the real eigenvectors and eigenvalues of a 2D square array.\u003c/p\u003e\n"],["\u003cp\u003eReturns an array where each row represents an eigenvalue and its corresponding eigenvector.\u003c/p\u003e\n"],["\u003cp\u003eEigenvalues are sorted in descending order within the output array.\u003c/p\u003e\n"],["\u003cp\u003eUtilizes the \u003ccode\u003eDecompositionFactory.eig()\u003c/code\u003e method from the EJML library for computation.\u003c/p\u003e\n"],["\u003cp\u003eAccepts a single argument: the input 2D square array.\u003c/p\u003e\n"]]],["The `eigen()` function computes the eigenvalues and eigenvectors of a square 2D array. It takes a square 2D array as input and returns a new array where each row represents an eigenvalue and its corresponding eigenvector. The first column of each row contains the eigenvalue, and the remaining columns contain the eigenvector components. The rows are sorted in descending order by eigenvalue. It uses `DecompositionFactory.eig()` for its core calculations.\n"],null,["# ee.Array.eigen\n\nComputes the real eigenvectors and eigenvalues of a square 2D array of A rows and A columns. Returns an array with A rows and A+1 columns, where each row contains an eigenvalue in the first column, and the corresponding eigenvector in the remaining A columns. The rows are sorted by eigenvalue, in descending order.\n\n\u003cbr /\u003e\n\nThis implementation uses DecompositionFactory.eig() from https://ejml.org.\n\n| Usage | Returns |\n|-----------------|---------|\n| Array.eigen`()` | Array |\n\n| Argument | Type | Details |\n|---------------|-------|------------------------------------------------------------------------|\n| this: `input` | Array | A square, 2D array from which to compute the eigenvalue decomposition. |\n\nExamples\n--------\n\n### Code Editor (JavaScript)\n\n```javascript\nprint(ee.Array([[0, 0], [0, 0]]).eigen()); // [[0,0,1],[0,1,0]]\n\nprint(ee.Array([[1, 0], [0, 0]]).eigen()); // [[1,1,0],[0,0,1]]\nprint(ee.Array([[0, 1], [0, 0]]).eigen()); // [[0,0,1],[0,1,0]]\nprint(ee.Array([[0, 0], [1, 0]]).eigen()); // [[0,-1,0],[0,0,-1]]\nprint(ee.Array([[0, 0], [0, 1]]).eigen()); // [[1,0,1],[0,1,0]]\n\nprint(ee.Array([[1, 1], [0, 0]]).eigen()); // [[1,1,0],[0,-1/√2,1/√2]]\nprint(ee.Array([[0, 0], [1, 1]]).eigen()); // [[1,0,-1],[0,-1/√2,1/√2]]]\n\nprint(ee.Array([[1, 0], [1, 0]]).eigen()); // [[1,1/√2,1/√2],[0,0,1]]\nprint(ee.Array([[1, 0], [0, 1]]).eigen()); // [[1,1,0],[1,0,1]]\nprint(ee.Array([[0, 1], [1, 0]]).eigen()); // [[1,1/√2,1/√2],[-1,1/√2,-1/√2]]\nprint(ee.Array([[0, 1], [0, 1]]).eigen()); // [[1,1/√2,1/√2],[0,1,0]]\n\nprint(ee.Array([[1, 1], [1, 0]]).eigen()); // [[1.62,0.85,0.53],[-0.62,0.53]]\nprint(ee.Array([[1, 1], [0, 1]]).eigen()); // [[1,0,1],[1,1,0]]\nprint(ee.Array([[1, 0], [1, 1]]).eigen()); // [[1,-1,0],[1,0,-1]]\n// [[1.62,-0.53,-0.85],[-0.62,-0.85,0.53]]\nprint(ee.Array([[0, 1], [1, 1]]).eigen());\n\nprint(ee.Array([[1, 1], [1, 1]]).eigen()); // [[2,1/√2,1/√2],[0,1/√2,-1/√2]]\n\nvar matrix = ee.Array([\n [1, 0, 0],\n [0, 1, 0],\n [0, 0, 1]]);\nprint(matrix.eigen()); // [[1,1,0,0],[1,0,1,0],[1,0,0,1]]\n\nvar matrix = ee.Array([\n [2, 0, 0],\n [0, 3, 0],\n [0, 0, 4]]);\nprint(matrix.eigen()); // [[4,0,0,1],[3,0,1,0],[2,1,0,0]]\n\nmatrix = ee.Array([\n [1, 0, 0],\n [0, 0, 0],\n [0, 0, 0]]);\nprint(matrix.eigen()); // [[1,1,0,0],[0,0,1,0],[0,0,0,1]]\n\nmatrix = ee.Array([\n [1, 1, 1],\n [1, 1, 1],\n [1, 1, 1]]);\n// [[3,-0.58,-0.58,-0.58],[0,0,-1/√2,1/√2],[0,-0.82,0.41,0.41]]\nprint(matrix.eigen());\n```\nPython setup\n\nSee the [Python Environment](/earth-engine/guides/python_install) page for information on the Python API and using\n`geemap` for interactive development. \n\n```python\nimport ee\nimport geemap.core as geemap\n```\n\n### Colab (Python)\n\n```python\ndisplay(ee.Array([[0, 0], [0, 0]]).eigen()) # [[0, 0, 1], [0, 1, 0]]\n\ndisplay(ee.Array([[1, 0], [0, 0]]).eigen()) # [[1, 1, 0], [0,0,1]]\ndisplay(ee.Array([[0, 1], [0, 0]]).eigen()) # [[0, 0, 1], [0, 1, 0]]\ndisplay(ee.Array([[0, 0], [1, 0]]).eigen()) # [[0, -1, 0], [0, 0, -1]]\ndisplay(ee.Array([[0, 0], [0, 1]]).eigen()) # [[1, 0, 1], [0, 1, 0]]\n\n# [[1, 1, 0], [0, -1/√2, 1/√2]]\ndisplay(ee.Array([[1, 1], [0, 0]]).eigen())\n\n# [[1, 0, -1], [0, -1/√2, 1/√2]]]\ndisplay(ee.Array([[0, 0], [1, 1]]).eigen())\n\n# [[1, 1/√2, 1/√2], [0, 0, 1]]\ndisplay(ee.Array([[1, 0], [1, 0]]).eigen())\ndisplay(ee.Array([[1, 0], [0, 1]]).eigen()) # [[1, 1, 0], [1, 0, 1]]\n\n# [[1, 1/√2, 1/√2], [-1, 1/√2, -1/√2]]\ndisplay(ee.Array([[0, 1], [1, 0]]).eigen())\n\n# [[1, 1/√2, 1/√2], [0, 1, 0]]\ndisplay(ee.Array([[0, 1], [0, 1]]).eigen())\n\n# [[1.62, 0.85, 0.53], [-0.62, 0.53]]\ndisplay(ee.Array([[1, 1], [1, 0]]).eigen())\ndisplay(ee.Array([[1, 1], [0, 1]]).eigen()) # [[1, 0, 1], [1, 1, 0]]\ndisplay(ee.Array([[1, 0], [1, 1]]).eigen()) # [[1, -1, 0], [1, 0, -1]]\n\n# [[1.62, -0.53, -0.85], [-0.62, -0.85, 0.53]]\ndisplay(ee.Array([[0, 1], [1, 1]]).eigen())\n\n# [[2, 1/√2, 1/√2], [0, 1/√2, -1/√2]]\ndisplay(ee.Array([[1, 1], [1, 1]]).eigen())\n\nmatrix = ee.Array([\n [1, 0, 0],\n [0, 1, 0],\n [0, 0, 1]])\ndisplay(matrix.eigen()) # [[1, 1, 0, 0], [1, 0, 1, 0], [1, 0, 0, 1]]\n\nmatrix = ee.Array([\n [2, 0, 0],\n [0, 3, 0],\n [0, 0, 4]])\ndisplay(matrix.eigen()) # [[4, 0, 0, 1], [3, 0, 1, 0], [2, 1, 0, 0]]\n\nmatrix = ee.Array([\n [1, 0, 0],\n [0, 0, 0],\n [0, 0, 0]])\ndisplay(matrix.eigen()) # [[1, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]\n\nmatrix = ee.Array([\n [1, 1, 1],\n [1, 1, 1],\n [1, 1, 1]])\n# [[3, -0.58, -0.58, -0.58], [0, 0, -1/√2, 1/√2], [0, -0.82, 0.41, 0.41]]\ndisplay(matrix.eigen())\n```"]]
